Incorporation of generalized uncertainty principle into Lifshitz field theories |
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Authors: | Mir Faizal Barun Majumder |
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Institution: | 1. Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada;2. Indian Institute of Technology Gandhinagar, Ahmedabad, 382424, India |
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Abstract: | In this paper, we will incorporate the generalized uncertainty principle into field theories with Lifshitz scaling. We will first construct both bosonic and fermionic theories with Lifshitz scaling based on generalized uncertainty principle. After that we will incorporate the generalized uncertainty principle into a non-abelian gauge theory with Lifshitz scaling. We will observe that even though the action for this theory is non-local, it is invariant under local gauge transformations. We will also perform the stochastic quantization of this Lifshitz fermionic theory based generalized uncertainty principle. |
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